Question

Write an equivalent multiplication expression. Then, find the quotient in its simplest form. Use a model to support your response. 1 4 ÷ 2 and 2 3 ÷ 6

Answer 1

Step-by-step explanation:

Let the integers be a, b and c. To model the expression generally;

$\dfrac{a}{b} \div c = \dfrac{a}{b} \times \dfrac{1}{c}\\= \dfrac{a}{bc}$

Using the model to solve the following expression given

a)  $\dfrac{1}{4} \div 2$

$= \dfrac{1}{4} \times \dfrac{1}{2}\\= \dfrac{1}{4*2}\\= \dfrac{1}{8}$

b)

$= \frac{2}{3} \div 6 \\= \dfrac{2}{3} \times \dfrac{1}{6}\\= \dfrac{2}{3*6}\\\\= \dfrac{2}{18}\\= \dfrac{2}{9}$